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Finding the Third Proportional to 252,290 and 420,465

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Solution

The third proportional to 252,290 and 420,465 is: 700,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,290 : 420,465 = 420,465 : x
  2. Step 2: Convert to fraction form
    252,290/420,465 = 420,465/x
  3. Step 3: Cross multiply
    252,290x = 420,465 × 420,465
  4. Step 4: Simplify right side
    252,290x = 176,790,816,225
  5. Step 5: Solve for x
    x = 176,790,816,225/252,290
  6. Step 6: Final answer
    x = 700,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.